A STUDY ON CONJUGACY GRAPHS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 85

Volume : 21 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2025.2101.1
Author :
Divya Bankapur (Department of Mathematics, CHRIST (Deemed to be University), Bangalore - 560029, Karnataka, INDIA)
S. A. Choudum (Department of Mathematics, CHRIST (Deemed to be University), Bangalore - 560029, Karnataka, INDIA)
Sudev Naduvath (Department of Mathematics, CHRIST (Deemed to be University), Bangalore - 560029, Karnataka, INDIA)

Abstract

In this paper, we introduce the notion of an equivalence graph based on equivalence relation defined on a group. Furthermore, restricting ourselves to conjugacy relation, a special type of equivalence graph called a conjugacy graph is also defined. In addition, a graph theoretical expression for the class equation is established followed by related results.

Keywords and Phrases

Equivalence graph, conjugacy relation, conjugacy graph.

A.M.S. subject classification

05C25, 05C22.

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